27 citations · 117 across the 40 of their papers we have counts for
6 papers · 1 filter
Rate of convergence of Wong-Zakai approximations for stochastic partial differential equations
I. Gyöngy, P. R. Stinga
In this paper we show that the rate of convergence of Wong-Zakai approximations for stochastic partial differential equations driven by Wiener processes is essentially the same as…
Fractional Laplacian on the torus
L. Roncal, P. R. Stinga
We study the fractional Laplacian on the -dimensional torus , . First, we present a general extension problem that describes \textit{any} frac…
Extension problem and fractional operators: semigroups and wave equations
J. E. Galé, P. J. Miana, P. R. Stinga
We extend results of Caffarelli--Silvestre and Stinga--Torrea regarding a characterization of fractional powers of differential operators via an extension problem. Our results appl…
A note on the almost everywhere convergence to initial data for some evolution equations
I. Abu-Falahah, P. R. Stinga, J. L. Torrea
The weighted Lebesgue spaces of initial data for which almost everywhere convergence of the heat equation holds was only very recently characterized. In this note we show that the…
Fractional integrals on compact Riemannian symmetric spaces of rank one
O. Ciaurri, L. Roncal, P. R. Stinga
In this paper we study mixed norm boundedness for fractional integrals related to Laplace--Beltrami operators on compact Riemannian symmetric spaces of rank one. The key point is t…
Harnack's inequality for fractional nonlocal equations
P. R. Stinga, Chao Zhang
We prove interior Harnack's inequalities for solutions of fractional nonlocal equations. Our examples include fractional powers of divergence form elliptic operators with potential…